Answer:
(f - g)(x) = x² - 3x - 70
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x² - 2x - 63
g(x) = x + 7
(f - g)(x) is f(x) - g(x)
<u>Step 2: Find (f - g)(x)</u>
- Substitute: (f - g)(x) = x² - 2x - 63 - (x + 7)
- Distribute -1: (f - g)(x) = x² - 2x - 63 - x - 7
- Combine like terms (x): (f - g)(x) = x² - 3x - 63 - 7
- Combine like terms (Z): (f - g)(x) = x² - 3x - 70
I recommend using desmos if you wanna know what a graph looks like !
Answer:
C) 2744 cm
Step-by-step explanation:
To find the volume of a cube you have to use this equation:
V = a^3
Now plug in the number:
V = 14^3
14^3 or 14*14*14 = 2,744
The volume is 2,744 cm
Production possibilities frontier, PPF, is defined as a representation of the point at which a country’s economy is most efficiently producing its goods and services. Efficient production means allocating its resources in the best way possible.
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The points in the PPF shifts outward. The more efficient production is the more the PPF shifts outward. With this in mind, any point found inside the PPF means that there is inefficient resource allocation. If the PPF shifts inward, it means that the efficiency production is regressing and available resources are not fully used to its potential which will lead to a downward turn of the economy.
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Answer:
A = 10.27cm²
Step-by-step explanation:
Let's represent the width as x,
therefore since the length is 4 more than 3 times the width, it can be represent as 3x + 4, Perimeter = 18.4cm
Perimeter of a rectangle = 2(L + B)
width = 1.3cm
Length = 3x + 4 = 3*1.3 + 4 = 7.9cm
Area of a rectangle = length x width
A = 7.9 * 1.3 = 10.27cm²
